What is ln((478)/(212/13)) ?

The solution to ln((478)/(212/13)) is ln(478)-ln(212)+ln(13)

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simplify ln((478)/(212/13))

simplify

ln (\frac{478}{\frac{212}{13}})

ln (478) - ln (212) + ln (13)

Decimal Notation

3.37797 \dots

Solution steps

ln (\frac{478}{\frac{212}{13}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{478}{\frac{212}{13}}) = ln (478) - ln (\frac{212}{13})

= ln (478) - ln (\frac{212}{13})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{212}{13}) = ln (212) - ln (13)

= ln (478) - (ln (212) - ln (13))

- (ln (212) - ln (13)) : - ln (212) + ln (13)

= ln (478) - ln (212) + ln (13)

\frac{3}{2} lo g_{10} (3) + \frac{3}{2} lo g_{10} (2)

lo g_{10} (14 x)

lo g_{10} (\frac{z ^{3}}{100})

ln (\frac{x}{yz})

ln (\frac{e ^{4}}{7})

What is ln((478)/(212/13)) ?
The solution to ln((478)/(212/13)) is ln(478)-ln(212)+ln(13)